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SEMINARIO DE GEOMETRÍA Y TOPOLOGÍA
10:30, martes 13 de marzo, 2018.
Departamento de Matemáticas de la UAM
Aula 420, módulo 17,
Speaker: Mauricio Bustamante, Universität Augsburg
Título: Bundles with fiberwise negatively curved metrics.
Abstract: A smooth M-bundle is said to be negatively curved if its fibers are equipped with Riemannian metrics of negative sectional curvature, varying continuously from fiber to fiber. The difference between negatively curved M-bundles and smooth M-bundles is measured by the space of all negatively curved metrics on M. In this talk I will show that the latter space has non-trivial rational homotopy groups, provided certain dimension constraints are satisfied. Hence the two bundle theories generally differ. This is joint work with F.T. Farrell and Y. Jiang.